The Office for National Statistics (ONS) said that one in 90 people in private households in England had Covid-19 in the week to September 18, the equivalent of around 620,100 people.
This is down from one in 80 the week before and the second week in a row that rates have fallen.
At the height of the second wave in early January, around one in 50 people in England was estimated to have coronavirus.
ONS figures showed prevalence in Wales and Scotland remained unchanged from the previous week, while it increased in Northern Ireland.
In Wales, it is estimated that around one in 60 people had Covid-19 in the week before September 18, the highest level since the week before December 23.
In Northern Ireland, the latest estimate is also one in 60, down from one in 75 the week before.
For Scotland, the ONS estimates that around one in 45 people had Covid-19, remaining at the highest level since estimates for Scotland began in October.
Professor James Naismith, director of the Rosalind Franklin Institute, said that at worst, the prevalence of Covid in England could equal that of Scotland.
He said: ‘The very high prevalence in Scotland is worrying, it is about double that of England. This will have created sustained pressure in the NHS.
‘Scientists operate with data, real world data indicates that at present the prevalence in Scotland is as bad as it can get with children back to school and life on the move inside.
“If so, at worst I would expect the prevalence in England to double from where it is now.
“The seven-day average of cases this week suggests cases are increasing in England. I really hope England will not reach the level seen in Scotland.
The ONS also said rates had increased for people aged two to 11 in England.
It is estimated that around one in 35 people in years 7 to 11 had Covid-19 in the week leading up to September 18 – the highest positivity rate for any age group.
The percentage of positive tests decreased in all other age groups except those aged 50 to 69, where the trend was uncertain.
The new figures come as the NHS offers young people aged 16 and 17 the opportunity to make an appointment for their Covid vaccine through the national reservation service.
About 60% of young people have already received their vaccine since it was rolled out to the age group in August, NHS England said.
Starting at 6 p.m. Friday, the online booking service will be another way for people aged 16 and 17 in England to get a single photo of the Pfizer vaccine, in line with advice from the Joint Committee on Immunization and Immunization. immunization.
The NHS is due to send thousands of text messages to eligible teens in the coming days.
On Monday, the NHS began vaccinating children between the ages of 12 and 15, after the government accepted a recommendation from UK chief medical officers to expand the program to this age group.
NHS England also launched booster vaccines earlier this month for all people aged 50 and over, as well as vulnerable people and frontline health and social workers.
Health Secretary Sajid Javid said: “Obtaining life-saving vaccine protection is now even easier with the national reservation service open to people aged 16 to 17 to reserve their vaccine.
“We know the vaccine works – with over 123,100 lives saved, and 24 million infections and 230,000 hospitalizations averted in England alone.
“So please reserve your vaccine as early as possible to protect yourself and your loved ones from the virus. “
Also from Friday, healthcare and social service workers in England can make an appointment via the online service for their booster shot.
More than 78 million vaccines have been issued and nearly nine in 10 adults have received their first dose since the program began in December 2020.
NHS staff and volunteers have vaccinated on college campuses in pop-up clinics and walk-in centers, urging students to receive their first or second dose and to protect themselves as the new academic year begins.